# 2019/20 Undergraduate Programme Catalogue

## BSc Mathematics and Statistics

Programme code: | BS-MATH&STAT | UCAS code: | GG13 |
---|---|---|---|

Duration: | 3 Years |
Method of Attendance: | Full Time |

Programme manager: | Dr Andrew Baczkowski | Contact address: | A.J.Baczkowski@leeds.ac.uk |

### Total credits: 360

### Entry requirements:

Typical offer is AAA with an A in Mathematics or A*AB with an A* in Mathematics. Other alternative offers are available.

### School/Unit responsible for the parenting of students and programme:

School of Mathematics

### Examination board through which the programme will be considered:

School of Mathematics

### Relevant QAA Subject Benchmark Groups:

Mathematics, Statistics and Operational Research.

### Programme specification:

The programme will aim to:

- introduce students to the major branches of mathematics and statistics;

- meet the needs of students with varied mathematical and statistical backgrounds and with different aspirations within mathematics and statistics;

- enable the student to appreciate the coherence, logical structure, and broad applicability of mathematics and statistics;

- impart an awareness of the values of research and scholarship in mathematicsand statistics;

- accustom students to the use of tools, including libraries and computers, that are available to mathematicians and statisticians;

- provide a thorough training in the intellectual skills and advanced techniques of modern mathematics and statistics;

- develop the ability of students to abstract and generalize, to model various phenomena, and to interpret numerical data;

- enable future mathematicians and statisticians to develop the skills associated with problem solving, rigorous argument and communication;

- educate new mathematicians and statisticians to meet the needs of employers, including those in industry, finance, education and the public services;

- broaden and deepen the mathematical and statistical background of students;

- prepare students to work in fields where specific and broadly based advanced mathematical and statistical knowledge is required;

- enable students to embark on research in some area of mathematics and statistics;

- give students the opportunity to experience a wide and deep mathematics and statistics curriculum;

- give students the chance to undertake a substantial project.

**Year1** - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in the academic year.

**Compulsory modules:**

Students will be required to take the following compulsory modules.

MATH1010 | Mathematics 1 | 25 credits | Semester 1 | |

MATH1012 | Mathematics 2 | 25 credits | Semester 2 | |

MATH1025 | Number Systems | 15 credits | Semester 1 | |

MATH1026 | Sets, Sequences and Series | 15 credits | Semester 2 | |

MATH1710 | Probability and Statistics I | 10 credits | Semester 1 | |

MATH1712 | Probability and Statistics II | 10 credits | Semester 2 |

**Optional modules:**

Candidates may take up to 25 credits from the optional modules below, or Discovery modules, or a combination of the two:

MATH1225 | Introduction to Geometry | 10 credits | Semester 1 | |

MATH1510 | Financial Mathematics 1 | 15 credits | Semester 2 |

In all cases that choice of modules is subject to the approval of the Programme Manager.

**Discovery modules:**

Candidates may study up to 20 credits of level 1 discovery modules. Choices are subject to approval of the Programme Manager.

**Year2** - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in the academic year.

**Compulsory modules:**

Students must take the following compulsory modules:

MATH2017 | Real Analysis | 15 credits | Semester 2 | |

MATH2022 | Groups and Vector Spaces | 15 credits | Semester 1 | |

MATH2365 | Vector Calculus | 15 credits | Semester 1 | |

MATH2375 | Linear Differential Equations and Transforms | 15 credits | Semester 2 | |

MATH2920 | Computational Mathematics | 10 credits | Semester 1 |

**Optional modules:**

Students must choose at least 30 credits from the following list, including at least two of MATH2715, MATH2735 or MATH2750.

In order to progress to Year 3 of the programme, in addition to the usual requirements candidates need to pass MATH2715 or MATH2735.

LIST A

MATH2715 | Statistical Methods | 10 credits | Semester 1 | |

MATH2735 | Statistical Modelling | 10 credits | Semester 1 | |

MATH2740 | Environmental Statistics | 10 credits | Not running in 201920 | |

MATH2750 | Introduction to Markov Processes | 10 credits | Semester 2 | |

MATH2775 | Survival Analysis | 10 credits | Semester 2 |

Students can choose further modules from the list below or from Discovery modules.

LIST B

EDUC2091 | School Mathematics | 10 credits | Semester 2 | |

MATH2027 | Rings and Polynomials | 10 credits | Semester 2 | |

MATH2041 | Logic | 10 credits | Semester 2 | |

MATH2042 | Logic with Computation | 15 credits | Semester 2 | |

MATH2051 | Geometry of Curves and Surfaces | 10 credits | Semester 1 | |

MATH2230 | Discrete Mathematics | 10 credits | Semester 2 | |

MATH2231 | Discrete Mathematics with Computation | 15 credits | Semester 2 | |

MATH2340 | The Mathematics of Music | 10 credits | Semester 1 | |

MATH2391 | Nonlinear Differential Equations | 10 credits | Semester 2 | |

MATH2530 | Financial Mathematics 2 | 10 credits | Semester 1 | |

MATH2540 | Financial Mathematics 3 | 10 credits | Semester 2 | |

MATH2600 | Numerical Analysis | 10 credits | Semester 2 | |

MATH2601 | Numerical Analysis with Computation | 15 credits | Semester 2 | |

MATH2620 | Fluid Dynamics 1 | 10 credits | Semester 2 | |

MATH2640 | Introduction to Optimisation | 10 credits | Semester 1 | |

MATH2650 | Calculus of Variations | 10 credits | Semester 2 | |

MATH2800 | Mathematics into Schools | 10 credits | Semesters 1 & 2 | |

MATH2900 | Maths at Work | 10 credits | Semesters 1 & 2 |

!! IMPORTANT !! When choosing options, students must take into account which modules they intend to take in Year 3 to make sure that they have the necessary prerequisites. Please refer to the information from the Programme Meetings.

**Discovery modules:**

Depending on the modules chosen from LIST A and B, students can take up to 20 credits of Discovery modules at level 1 or 2.

**Year3** - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in the academic year, with no more than 20 credits at level 1 or 2.

In order to qualify for the degree, in addition to the usual degree rules, students must pass at least 40 credits of level 3 Mathematics (not Statistics) and at least 40 credits of level 3 Statistics modules. (EDUC3060, COMP3910 and COMP3940 count as a Mathematics module and EPIB3036 counts as a Statistics module for this purpose).

Students will be awarded the degree of BSc(Ord) Mathematics and Statistics if they do not pass MATH3001.

**Compulsory modules:**

Student must take the following compulsory module:

MATH3001 | Project in Mathematics | 20 credits | Semesters 1 & 2 |

**Optional modules:**

Students must choose at least 40 credits from List A and at least 40 credits from LIST B.

List A

COMP3910 | Combinatorial Optimisation | 10 credits | Semester 2 | |

COMP3940 | Graph Algorithms and Complexity Theory | 10 credits | Semester 1 | |

EDUC3060 | Mathematics Education | 10 credits | Semester 2, Semester 1 | |

MATH3015 | History of Mathematics | 15 credits | Semester 2 | |

MATH3017 | Calculus in the Complex Plane | 15 credits | Semester 1 | |

MATH3021 | Philosophy of Logic and Mathematics | 20 credits | Semester 2 | |

MATH3033 | Graph Theory | 15 credits | Semester 1 | |

MATH3044 | Number Theory | 15 credits | Semester 2 | |

MATH3071 | Groups and Symmetry | 15 credits | Semester 1 | |

MATH3104 | Proof and Computation | 15 credits | Semester 2 | |

MATH3113 | Differential Geometry | 15 credits | Semester 2 | |

MATH3120 | Models and Sets | 15 credits | Semester 1 | |

MATH3143 | Combinatorics | 15 credits | Semester 2 | |

MATH3153 | Coding Theory | 15 credits | Semester 1 | |

MATH3195 | Commutative Rings and Algebraic Geometry | 15 credits | Semester 2 | |

MATH3211 | Metric and Function Spaces | 15 credits | Semester 1 | |

MATH3216 | Hilbert Spaces and Fourier Analysis | 15 credits | Semester 2 | |

MATH3225 | Topology | 15 credits | Semester 2 | |

MATH3232 | Transformation Geometry | 15 credits | Semester 1 | |

MATH3355 | Hamiltonian Systems | 15 credits | Semester 2 | |

MATH3365 | Mathematical Methods | 15 credits | Semester 1 | |

MATH3374 | Linear and Non-Linear Waves | 15 credits | Not running in 201920 | |

MATH3375 | Hydrodynamic Stability | 15 credits | Not running in 201920 | |

MATH3385 | Quantum Mechanics | 15 credits | Semester 1 | |

MATH3396 | Dynamical Systems | 15 credits | Not running in 201920 | |

MATH3397 | Nonlinear Dynamics | 15 credits | Semester 1 | |

MATH3414 | Analytic Solutions of Partial Differential Equations | 15 credits | Semester 1 | |

MATH3424 | Introduction to Entropy in the Physical World | 15 credits | Not running in 201920 | |

MATH3458 | Geophysical Fluid Dynamics | 15 credits | Semester 2 | |

MATH3459 | Astrophysical Fluid Dynamics | 15 credits | Semester 2 | |

MATH3474 | Numerical Methods | 10 credits | Semester 1 | |

MATH3475 | Modern Numerical Methods | 15 credits | Not running in 201920 | |

MATH3491 | Discrete Systems and Integrability | 15 credits | Not running in 201920 | |

MATH3510 | Actuarial Mathematics 1 | 15 credits | Semester 1 | |

MATH3520 | Actuarial Mathematics 2 | 15 credits | Semester 2 | |

MATH3532 | Relativity and Cosmology | 15 credits | Semester 2 | |

MATH3565 | Mathematical Biology | 15 credits | Semester 1 | |

MATH3567 | Evolutionary Modelling | 15 credits | Semester 2 | |

MATH3620 | Fluid Dynamics 2 | 15 credits | Semester 1 |

List B

EPIB3036 | Introduction to Clinical Trials | 15 credits | Semester 2 | |

MATH3714 | Linear Regression and Robustness | 15 credits | Semester 1 | |

MATH3723 | Statistical Theory | 15 credits | Semester 2 | |

MATH3734 | Stochastic Calculus for Finance | 15 credits | Semester 2 | |

MATH3772 | Multivariate Analysis | 10 credits | Semester 1 | |

MATH3802 | Time Series | 10 credits | Semester 1 | |

MATH3820 | Bayesian Statistics | 10 credits | Semester 2 | |

MATH3823 | Generalised Linear Models | 10 credits | Semester 2 |

Additional options may be chosen from List C, as well as Discovery modules.

MATH2051 | Geometry of Curves and Surfaces | 10 credits | Semester 1 | |

MATH2231 | Discrete Mathematics with Computation | 15 credits | Semester 2 | |

MATH2601 | Numerical Analysis with Computation | 15 credits | Semester 2 | |

MATH2650 | Calculus of Variations | 10 credits | Semester 2 | |

MATH2775 | Survival Analysis | 10 credits | Semester 2 | |

MATH2920 | Computational Mathematics | 10 credits | Semester 1 |

**Discovery modules:**

Students may study up to 20 credits of discovery modules at Level 2 or 3, including MATH modules and Level 1 Skills modules, keeping in mind that they need to enrol on at least 100 credits of Level 3 modules. Choices are subject to the approval of the Programme Manager.

Last updated: 30/04/2019

## Browse Other Catalogues

- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue

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